Answer:
1/4
Step-by-step explanation:
What is the solution of 4x+9=2x-6?
4x+9=2x−6
Step 1: Subtract 2x from both sides.
4x+9−2x=2x−6−2x
2x+9=−6
Step 2: Subtract 9 from both sides.
2x+9−9=−6−9
2x=−15
Step 3: Divide both sides by 2.
2x
2
=
−15
2
x=
−15
2
Answer:
x=-15/2
Cindy's Smoothie Shop sells blueberry smoothies for $5 and mango smoothies for $4. Today, Cindy sold four more mango smoothies than blueberry smoothies and made $52. How many MANGO smoothies did CIndy sell today?
Cindy sold 8 mango smoothies today. This was determined by solving a system of linear equations that was created based on the information provided in the problem.
Explanation:This problem is a classic example of a system of linear equations. Let's denote the number of blueberry smoothies as x and the number of mango smoothies as y. From the problem, we know that the price of a blueberry smoothie is $5 and the price of a mango smoothie is $4. Therefore, we have our first equation: 5x + 4y = 52. Cindy also sold four more mango smoothies than blueberry ones, which gives us the second equation y = x + 4.
Now, we need to solve this system of equations. Let's substitute y from the second equation into the first, and solve for x: 5x + 4(x + 4) = 52. This gives x = 4 (number of blueberry smoothies), so y = x + 4 = 8 (number of mango smoothies).
So, Cindy sold 8 mango smoothies today.
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Help me with this I was trying to figure this out for half an hour /4rth grade Go math
4+3=7 and 7x2 is 14 so cooper has 14 and nando and jill have 7 total.
Answer:
Hi 14 goldfish
Step-by-step explanation:
The equation would be 4+3*2 and the final answer would be 14 goldfish
Write the slope-intercept form of the equation for the line.
Write the slope-intercept form of the equation for the line.
The slope intercept form of the line is ,
> y = mx + c
where
m is slope c is y intercept .For example :-
> y = 3x + 4
The line passes through (0,3) and has a slope of 4 .Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18? no real number solutions 1 real number solution 2 real number solutions 3 real number solutions
Answer:
C on Edge
2 real number solutions
Step-by-step explanation:
the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.
The function h(x) = x³ – 4x² – 3x + 18 is a polynomial function of degree 3. To find the number of real solutions, we can analyze its graph or use the fundamental theorem of algebra.
The fundamental theorem of algebra states that a polynomial of degree n has exactly n complex roots. In this case, since it's a degree 3 polynomial, it can have at most 3 real roots, with the possibility of having some as complex solutions.
Therefore, the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.
Which relation is a function?
The relation that is a function is that represented in the fourth graph. y = 2IxI
You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.
In other words, if we have two sets P and M.
A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.
To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.
By doing this test you will verify that only the fourth image represents the graph of a function.
A starfish's top speed is approximately 161 centimeters per minute. What is this speed to the nearest centimeter per second? plz help due Tuesday!.
2.7 cm per second. Because it’s 161 divided by 60
It would be 3 cm per second. You need to divide the 161 cm/min by 60 (60 sec + 1 min) 161 / 60 = 2.68333.., which is rounded to 3 cm/sec.
The fair market rental for Bloomington is $747 and for Kokomo is $654. Find the relative change from Bloomington to Kokomo
Answer: The relative change from Bloomington to Kokomo is $ 93
Step-by-step explanation:
Since, the price of Bloomington = $ 747
And, the price of Kokomo = $ 654,
Thus, the relative changes in the price of Bloomington to Kokomo
= The price of Bloomington - the price of Kokomo
= 747 - 654
= 93
Hence the required relative change from Bloomington to Kokomo is $ 93.
You are swimming each 25 yard length of a swimming pool 3 seconds faster than your personal best. What integer represents your change in time of your personal best after 200 yards?
Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .
Step-by-step explanation:
Since we have given that
Distance he covered by swimming = 25 yards
Time taken by him = 3 seconds
[tex]\text{Speed of his swimming} =\frac{Distance}{Time}\\\\ \text{Speed of his swimming} =\frac{25}{3}[/tex]
Now, if he covers 200 yards , the change of time will be
[tex]\text{Time taken}=\frac{Distance}{Speed}\\\\\text{Time taken}=\frac{200}{\frac{25}{3}}\\\\\text{Time taken}=\frac{200\times 3}{25}\\\\\text{Time taken}=8\times 3\\\\\text{Time taken}=24 seconds[/tex]
Hence, he takes 24 seconds which represents change in time of his personal best after 200 yards .
Find the equation of a line passing through the points (2,1) and (4,7).
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, 1) and (4, 7). Substitute:
[tex]m=\dfrac{7-1}{4-2}=\dfrac{6}{2}=3[/tex]
[tex]\boxed{y-1=3(x-2)}[/tex] point-slope form
[tex]\boxed{y=3x-5}[/tex] slope-intercept form
[tex]\boxed{3x-y=5}[/tex] standard form
2 x + y equals negative 9
Answer:
The given equation which is in two variable is
⇒2 x + y =9
As we know that to get a unique solution you need two intersecting lines.
But here only one line is given.
On a single line there lie infinite number of points.
So, for different values of x we get different values of y or different values of y we get different values of x.
So , we can write the above equation as
either ⇒y=9-2 x Or x=9-2 y
I have drawn graph for you.
Thus , there are infinite number of solution of this equation. Like (0,9),(1,7),(2,5),(-2,13),(-1,11),(-3,15)......
You are making a scale model of the solar system. The radius of Earth is 6378 kilometers. The radius of the Sun is 695,500 kilometers. Is it reasonable to choose a baseball as a model of Earth? Explain your reasoning.
It_____ reasonable to use a baseball as a model for Earth because the model for the Sun would be about the size of ______.
Express the radius of the Sun as a proportion to radius of Earth:
695500/6378 = 109.04...
Now if a baseball would represent Earth, the model for Sun would have to be about 110 times larger than a baseball. A baseball is about 3" in diameter, so the model for Sun would have to be about 330" (or 27 feet) in diameter.
The answer should be no it is not reasonable to use baseball as a model for the Earth because the Sun would need to be about the size of a hot air balloon!
How many zeros will the product of 700 and 300 have?
The answer would be 4.
700 x 300 = 210,000
First multiply 700 and 300
700 x 300= 210000
Now count the zeros in the number.
So the product of 700 and 300 have 4 zeroes.
Another way to do this is just count the zeroes under 700 and 300.
When you multiply any two numbers that have zeroes the zeroes will practically add together.
For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.
Or 30 x 40=1200 they had one zero and the total has 2 zeroes.
Dalia is a botanist. She wants to model the growth rate of the patch of ground that is covered by a certain plant as time passes. What would be an appropriate unit for Dalia's purpose?
Answer:
The appropriate measure is cm/day.
Step-by-step explanation:
The best unit to measure the height of a plant = cm.
The best measure for time is day.
Rate refers to the ratio between units. Mostly, the difference in some unit when time passes.
She can measure the height of the plant in each day.
Hence, the appropriate unit for Dalla is cm per day.
Answer:
We have to find the growth rate of certain Patch of ground, which is covered by certain plant.
As, the branches of Herb patch plant can't grow more than 150 cm.
The difference in height can't be calculated on daily basis.It should be calculated either in a duration of three to four days ,or in a week.
Now, if you look branches of plant it occupies some space,that is area it's unit should be either Square cm or Square meter.
So, the appropriate unit to measure the growth rate will be
[tex]1.\frac{cm^2}{\text{3 or 4 day}}\\\\ 2.\frac{cm^2}{\text{1 Week}}[/tex]
or
[tex]1.\frac{m^2}{\text{3 or 4 day}}\\\\ 2.\frac{m^2}{\text{1 Week}}[/tex]
Hi I was wondering which one is the correct answer
Answer: A) yes the graph passes the vertical line test
What is the vertical line test? It's a test to see if we have a function. Here's how the test works: if you can draw a single line that passes through more than one point on the function curve, then the graph fails the vertical line test. If it fails the test, then the relation is not a function.
In this case, it is impossible to draw a single line that goes through more than one point on the orange curve. So this curve passes the test. Therefore, the curve represents a function. Any input (x) leads to exactly one output (y).
PLEASE HELP!!! I attached a snip of my question
Answer:
The answer is
Step-by-step explanation:
In the attachment!
which of the following is the graph of an arithmetic sequence whose first term is 2 and common difference is 0.5
Solution
The general form of the n-th term = a + (n-1)d
An = 2 +(n-1)0.5
An = 2 + 0.5n - 0.5
An = 0.5n +1.5
Here the slope is 0.5 and y-intercept is 1.5
Therefore, the line start from y = 1.5 rises 0.5 level because the slope is 0.5
Now look at the graph.
The graph D start from 1.5 and moves at the rate of 0.5
The answer is Graph D.
Solve for Y. 9/4y-12=1/4y-4
[tex]y=4[/tex]
Equations:A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.Finding the values of the variables that result in equality is the first step in solving an equation with variables.Solution -Given - [tex]\frac{9}{4y} -12=\frac{1}{4y} -4[/tex]
To find - [tex]y=?[/tex]
Since,
[tex]\frac{9}{4y} -12=\frac{1}{4y} -4\\\frac{9}{4y} =\frac{1}{4y} +8\\\frac{8}{4y} =8\\2y=8\\y=\frac{8}{2} \\y=4[/tex]
Therefore, [tex]y=4[/tex].
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70%, 2/3, 0.62, 13/20, 0.6 smallest too largest
70% = 0.7
3/4 = 0.75
0.6 = 0.6
2/3 = 0.667
In order from smallest to greatest:
0.6, 0.667, 0.7, 0.75 =
0.6, 2/3, 70%, 3/4
Therefore the smallest is 0.6
3.Mike and Beth are saving money to go to Disneyworld. They need at least $1975 in order to go. Mike mows yards and Beth will wash cars to raise money. Mike charges $25 each time he mows a yard and Beth charges $15 for each car she washes. The number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. Beth will wash at least 50 cars. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. Answer:
Answer:
[tex]25x+15y\geq 1975\\y\leq 4x\\y\geq 50\\x\geq 0[/tex]
Step-by-step explanation:
Let x represents the number of lawns mowed by Mike and y represents the number of cars washed by Beth.
Then, the amount earned by Mike if he charges $25 for moving the lawn[tex]=25x[/tex]
And the amount earned by Beth if she charges $15 for moving the lawn[tex]=15x[/tex]
Then, as need at least $1975 in order to go Disneyworld.
So, first inequality is,
[tex]25x+15y\geq 1975[/tex]
Now, it is given that the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. So, this gives the inequality,
[tex]y\leq 4x[/tex]
Next, it is given that Beth will wash at least 50 cars. So,
[tex]y\geq 50[/tex]
Lastly, as the number of lawns mowed can't be negative, so
[tex]x\geq 0[/tex]
Explain how to distinguish between rational and irrational numbers
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1 where as an irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Answer:
Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.
Step-by-step explanation:
rewrite the expression using addition -17.9 - 4.2
You can say -17.9+(-4.2)
What is the next number in the arithmetic sequence below? –32, –20, –8, 4, ___, ...
A. 12
B. 15
C. 16
D. 18
C. 16 is the answer.
When four gallson are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank in gallons?
Answer:
24 gallons
Step-by-step explanation:
To answer this question let's call "a" the capacity of the tank in gallons.
Initially it is one third of its capacity, but when 4 gallons are added, it is half full.
This statement can be written as an equation in the following way:
[tex]\frac{1}{3}a+4=\frac{1}{2}a\\[/tex] (1)
This equation represents the given conditions, therefore solving it we can clear "a" the capacity of the tank in gallons
Solving the equation we have:
[tex]\frac{1}{3}a-\frac{1}{2}a =-4\\a (\frac{1}{3}-\frac{1}{2}) = -4\\a (-\frac{1}{6}) = -4\\a (\frac{1}{6}) = 4\\a = 24\\[/tex]
Therefore the capacity of the tank is 24 gallons.
We can check this result by verifying if it meets the given conditions. The half of 24 is 12. Therefore, if we divide 24 at 3 and then add 4, we should get half the capacity of the tank, that is, 12 gallons.
[tex]\frac{24}{3} = 8\\8 + 4 = 12[/tex]
12 is half the capacity of the tank, then equation (1) is met and the result is checked
what is 73×28 in multiply with regrouping
i will give Brainiest
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. What is true about the domain and range of the function?
A.The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
B.The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
C.The domain is all real numbers, and the range is all real numbers less than or equal to 4.
D.The domain is all real numbers less than or equal to 4, and the range is all real numbers
The domain is all real numbers
The range is y<= 4
Choice C
Answer:
The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4
Step-by-step explanation:
The function is given to be :
f(x) = -(x + 3)(x - 1)
Domain : It is defined as a set of all points for which the function is real and defined.
Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :
Domain : All real numbers
Range : It is defined as a set of all values of dependent variable for which the function is defined.
Now, To find range of the given function :
As seen from the graph, the maximum value of the function is at (-1,4)
So, The range consists of all the values less than or equal to 4
⇒ Range : All real numbers less than or equal to 4
Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4
consider 7 x 10 to the 3rd power write a pattern to find the value of the expression
Answer:
7 x 10^3
Step-by-step explanation:
7 x 10 x 10 x 10
To find the value of the expression 7 x 10^3, multiply 7 by 10 raised to the power of 3 to get 7,000.
Explanation:To find the value of the expression 7 x 103, you need to multiply 7 by 10 raised to the power of 3. When you raise a number to the power of 3, you multiply it by itself three times. In this case, you need to multiply 10 by itself three times, which gives you 1000. So, the value of 7 x 103 is 7,000.
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x=18
x=22.5
x=30
x=54
Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.
x+90=4x
90=3x
x=30
Answer:
The value of [tex]x[/tex] is 30°Step-by-step explanation:
Observe that (x + 90)° and 4x° are verticle angles.
By definition, those angles are equal, taht is
[tex]x+90=4x[/tex]
Then, we solve for [tex]x[/tex]
[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]
Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.
Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinnerDaniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner
Daniel's friend took .75 pounds of rice home
Daniel had 2.75 pounds of rice, and 1.25 pounds were eaten during the dinner. The remainder, 1.5 pounds, was divided, and his friend took home 0.75 pounds of the Spanish fried rice.
The question asks us to calculate the amount of Spanish fried rice left after a family dinner and how much was taken by Daniel's friend. To find out the remaining weight of rice after the meal, we subtract the amount of rice eaten from the original weight. Then, to find how much rice Daniel's friend took home, we divide the remaining rice by two.
Daniel started with 2.75 pounds of rice.His family ate 1.25 pounds of rice during the meal.To find the amount of rice left, we subtract 1.25 from 2.75 which gives us 1.5 pounds.Daniel's friend took half of the remaining rice, so we divide 1.5 by 2, which results in 0.75 pounds.Therefore, Daniel's friend took home 0.75 pounds of the Spanish fried rice.
the coordinates of point T are (0,4). the midpoint of ST is (7,-5). find the coordinates of point S
The formula of a midpoint:
[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]
We have:
[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]
Substitute:
[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]
Answer: S(14, -14).